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Figure 8 Performance of computing minimum cycle basis.
The computation of the unique sets is now comparable to the minimum cycle basis.
The impact of varied preprocessing when computing the minimum cycle basis (MCB).
A comparison of computing the Minimum Cycle Basis (MCB) using the old implementation (SSSRFinder) compared to the new implementation.
A minimum cycle basis is a cycle basis of minimum weight, in an unweighted graph the weight is simply the number of edges.
The SSSR was originally defined as a minimum length Kirchhoff-fundamental basis but has evolved to refer to a minimum cycle basis (MCB).
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Finding such a minimum strictly fundamental cycle basis has various practical applications, e.g. in designing optimal periodic timetables in public transport.
The MCB is non-unique when there are multiple minimum cycle bases and an arbitrary choice of a single basis can generate the cycle space.
With $7.80/GJ natural gas and $20/ton CO2 handling, the minimum on-site CO2 abatement cost reaches $62.43/ton on a life cycle basis, achieved with a capture rate of over 90%.
The minimum cycle mean of the graph is the minimum mean weight of a cycle.
Figure 9 Performance of computing relevant cycle basis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com